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    Various Geometry Problems

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    Can you please help with these problems.

    © BrainMass Inc. brainmass.com October 10, 2019, 4:02 am ad1c9bdddf
    https://brainmass.com/math/curves/various-geometry-problems-446877

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    1.
    No. of faces (F) = ?
    No. of Edges (E) = 10
    No. of vertices (V) = 6

    Eular's formula:
    F+V-E = 2
    => F+6-10 = 2 => F = 6 --Answer

    2. Circle with thick line (answer d)

    3.
    Answer is A -- Because the plane shown is tilted & intersects with left & right faces. -- You can clearly see that plane shown intersects with both upper & lower edges of right & left faces. --Answer

    4.
    Surface area of the prism = 2*(3*5+5*10+10*3) = 190 square inches -- Answer

    5.
    Height of each face of shape triangle = sqrt ( 8^2 + (8/2)^2) = 8.9443 m
    Hence surface area of each triangular face = (1/2)*8*8.9443 m^2
    Total surface area = 4 Top faces + 4 vertical faces + bottom = 4*(1/2)*8*8.9443 + 4*8*9 + 8*8 = 495 m^2 --Answer

    6.
    Base area = 7*12 ft^2
    Height = 7 ft
    Volume = (1/2)*base * height =(1/2)*7*7*12 = 294 ft^3 --Answer

    7.
    Area = 14*9 yd^2
    Height = 4 in = (4/12) ft = (1/3) ft = (1/3)/3 yd = ...

    Solution Summary

    The solution solves various geometry problems.

    $2.19